You have 54,544 grams of a radioactive kind of iodine. How much will be left after 106 minutes if its half-life is 53 minutes?
Question
You have 54,544 grams of a radioactive kind of iodine. How much will be left after 106 minutes if its half-life is 53 minutes?
Solution
Sure, here's how you can calculate it:
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First, you need to determine how many half-lives have passed in 106 minutes. Since the half-life of this radioactive iodine is 53 minutes, you would divide 106 by 53. This gives you 2 half-lives.
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Next, you need to calculate how much of the iodine will be left after each half-life. After one half-life, half of the original amount will be left. So, after the first half-life, you would have 54,544 / 2 = 27,272 grams of iodine left.
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After the second half-life, you would have half of the remaining amount left. So, you would have 27,272 / 2 = 13,636 grams of iodine left.
So, after 106 minutes, you would have 13,636 grams of the radioactive iodine left.
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